## Brown, Kenneth Stephen

Compute Distance To:
 Author ID: brown.kenneth-s Published as: Brown, Kenneth S.; Brown, K. Stephen; Brown, K. S. more...less Homepage: http://www.math.cornell.edu/~kbrown/ External Links: MGP · Wikidata · GND
 Documents Indexed: 44 Publications since 1961, including 7 Books Co-Authors: 13 Co-Authors with 17 Joint Publications 367 Co-Co-Authors
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### Co-Authors

 26 single-authored 3 Abramenko, Peter 3 Geoghegan, Ross 2 Diaconis, Persi Warren 2 Farrell, Patrick J. 2 Sashegyi, Andreas I. 1 Abels, Herbert 1 Belk, James M. 1 Billera, Louis J. 1 Dror Farjoun, Emmanuel 1 Gersten, Stephen M. 1 Kahn, Peter J. 1 Meier, John 1 Seifert, Howard S. 1 Thévenaz, Jacques
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### Serials

 4 Commentarii Mathematici Helvetici 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 2 Journal of Algebra 2 Graduate Texts in Mathematics 1 American Mathematical Monthly 1 The Canadian Journal of Statistics 1 Israel Journal of Mathematics 1 The Annals of Probability 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Journal of Theoretical Probability 1 International Journal of Algebra and Computation 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Group Theory 1 Innovations in Incidence Geometry 1 Springer Monographs in Mathematics
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### Fields

 35 Group theory and generalizations (20-XX) 16 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 Category theory; homological algebra (18-XX) 7 Geometry (51-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 2 Combinatorics (05-XX) 2 Statistics (62-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

41 Publications have been cited 1,918 times in 1,653 Documents Cited by Year
Cohomology of groups. Zbl 0584.20036
Brown, Kenneth S.
1982
Cohomology of groups (Summary of talks). Zbl 0367.18012
Brown, K. S.
1976
Buildings. Zbl 0715.20017
Brown, Kenneth S.
1989
Finiteness properties of groups. Zbl 0613.20033
Brown, Kenneth S.
1987
Buildings. Theory and applications. Zbl 1214.20033
Abramenko, Peter; Brown, Kenneth S.
2008
An infinite-dimensional torsion-free $$\text{FP}_{\infty}$$ group. Zbl 0557.55009
Brown, Kenneth S.; Geoghegan, Ross
1984
Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007
Brown, Kenneth S.
1974
Semigroups, rings, and Markov chains. Zbl 0980.60014
Brown, Kenneth S.
2000
Random walks and hyperplane arrangements. Zbl 0938.60064
Brown, Kenneth S.; Diaconis, Persi
1998
Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033
Brown, Kenneth S.
1987
Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047
Brown, Kenneth S.
1974
Euler characteristics of groups: The $$p$$-fractional part. Zbl 0294.20048
Brown, Kenneth S.
1975
Homological criteria for finiteness. Zbl 0302.18010
Brown, Kenneth S.
1975
The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016
Brown, Kenneth S.
2000
Semigroup and ring theoretical methods in probability. Zbl 1043.60055
Brown, Kenneth S.
2004
Presentations for groups acting on simply-connected complexes. Zbl 0545.20022
Brown, Kenneth S.
1984
The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016
Brown, Kenneth S.
1992
Forest diagrams for elements of Thompson’s group $$F$$. Zbl 1163.20310
Belk, James M.; Brown, Kenneth S.
2005
Complete Euler characteristics and fixed-point theory. Zbl 0493.20033
Brown, Kenneth S.
1982
Algebraic $$K$$-theory as generalized sheaf cohomology. Zbl 0291.18017
Brown, Kenneth S.; Gersten, Stephen M.
1973
Buildings. Reprint of the 1989 original. Zbl 0922.20034
Brown, Kenneth S.
1998
Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020
Abels, Herbert; Brown, Kenneth S.
1987
The Artin-Rees property and homology. Zbl 0321.18010
Brown, Kenneth S.; Dror, Emmanuel
1975
High dimensional cohomology of discrete groups. Zbl 0339.20013
Brown, Kenneth S.
1976
The geometry of finitely presented infinite simple groups. Zbl 0753.20007
Brown, Kenneth S.
1992
A generalization of Sylow’s third theorem. Zbl 0639.20012
Brown, Kenneth S.; Thévenaz, Jacques
1988
Buildings. 2nd, corr. printing. Zbl 0922.20033
Brown, Kenneth S.
1996
Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004
Abramenko, Peter; Brown, Kenneth S.
2009
Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009
Brown, Kenneth S.; Kahn, Peter J.
1977
The homology of Richard Thompson’s group $$F$$. Zbl 1113.20043
Brown, Kenneth S.
2006
Five lectures on buildings. Zbl 0846.20032
Brown, Kenneth S.
1991
Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008
Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J.
2000
Improper actions and higher connectivity at infinity. Zbl 1002.57003
Brown, Kenneth S.; Meier, John
2000
$$FP_\infty$$ groups and HNN extensions. Zbl 0521.57001
Brown, Kenneth S.; Geoghegan, Ross
1983
Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037
Brown, Kenneth S.; Geoghegan, Ross
1985
Cohomology of infinite groups. Zbl 0424.20044
Brown, Kenneth S.
1980
Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041
Brown, Kenneth S.
1987
Lectures on the cohomology of groups. Zbl 1233.20046
Brown, Kenneth S.
2010
Random walks and plane arrangements in three dimensions. Zbl 0985.60069
Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi
1999
Groups of virtually finite dimension. Zbl 0426.20038
Brown, Kenneth S.
1979
Transitivity properties for group actions on buildings. Zbl 1163.51002
Abramenko, Peter; Brown, Kenneth S.
2007
Lectures on the cohomology of groups. Zbl 1233.20046
Brown, Kenneth S.
2010
Automorphisms of non-spherical buildings have unbounded displacement. Zbl 1276.51004
Abramenko, Peter; Brown, Kenneth S.
2009
Buildings. Theory and applications. Zbl 1214.20033
Abramenko, Peter; Brown, Kenneth S.
2008
Transitivity properties for group actions on buildings. Zbl 1163.51002
Abramenko, Peter; Brown, Kenneth S.
2007
The homology of Richard Thompson’s group $$F$$. Zbl 1113.20043
Brown, Kenneth S.
2006
Forest diagrams for elements of Thompson’s group $$F$$. Zbl 1163.20310
Belk, James M.; Brown, Kenneth S.
2005
Semigroup and ring theoretical methods in probability. Zbl 1043.60055
Brown, Kenneth S.
2004
Semigroups, rings, and Markov chains. Zbl 0980.60014
Brown, Kenneth S.
2000
The coset poset and probabilistic zeta function of a finite group. Zbl 0973.20016
Brown, Kenneth S.
2000
Estimation in an empirical Bayes model for longitudinal and cross-sectionally clustered binary data. Zbl 0963.62008
Sashegyi, Andreas I.; Brown, K. Stephen; Farrell, Patrick J.
2000
Improper actions and higher connectivity at infinity. Zbl 1002.57003
Brown, Kenneth S.; Meier, John
2000
Random walks and plane arrangements in three dimensions. Zbl 0985.60069
Billera, Louis J.; Brown, Kenneth S.; Diaconis, Persi
1999
Random walks and hyperplane arrangements. Zbl 0938.60064
Brown, Kenneth S.; Diaconis, Persi
1998
Buildings. Reprint of the 1989 original. Zbl 0922.20034
Brown, Kenneth S.
1998
Buildings. 2nd, corr. printing. Zbl 0922.20033
Brown, Kenneth S.
1996
The geometry of rewriting systems: A proof of the Anick-Groves-Squier theorem. Zbl 0764.20016
Brown, Kenneth S.
1992
The geometry of finitely presented infinite simple groups. Zbl 0753.20007
Brown, Kenneth S.
1992
Five lectures on buildings. Zbl 0846.20032
Brown, Kenneth S.
1991
Buildings. Zbl 0715.20017
Brown, Kenneth S.
1989
A generalization of Sylow’s third theorem. Zbl 0639.20012
Brown, Kenneth S.; Thévenaz, Jacques
1988
Finiteness properties of groups. Zbl 0613.20033
Brown, Kenneth S.
1987
Trees, valuations, and the Bieri-Neumann-Strebel invariant. Zbl 0663.20033
Brown, Kenneth S.
1987
Finiteness properties of solvable S-arithmetic groups: An example. Zbl 0617.20020
Abels, Herbert; Brown, Kenneth S.
1987
Cohomology of groups. (Kogomologii grupp). Transl. from the English by D. B. Fuks. Zbl 0606.20041
Brown, Kenneth S.
1987
Cohomology with free coefficients of the fundamental group of a graph of groups. Zbl 0584.20037
Brown, Kenneth S.; Geoghegan, Ross
1985
An infinite-dimensional torsion-free $$\text{FP}_{\infty}$$ group. Zbl 0557.55009
Brown, Kenneth S.; Geoghegan, Ross
1984
Presentations for groups acting on simply-connected complexes. Zbl 0545.20022
Brown, Kenneth S.
1984
$$FP_\infty$$ groups and HNN extensions. Zbl 0521.57001
Brown, Kenneth S.; Geoghegan, Ross
1983
Cohomology of groups. Zbl 0584.20036
Brown, Kenneth S.
1982
Complete Euler characteristics and fixed-point theory. Zbl 0493.20033
Brown, Kenneth S.
1982
Cohomology of infinite groups. Zbl 0424.20044
Brown, Kenneth S.
1980
Groups of virtually finite dimension. Zbl 0426.20038
Brown, Kenneth S.
1979
Homotopy dimension and simple cohomological dimension of spaces. Zbl 0351.55009
Brown, Kenneth S.; Kahn, Peter J.
1977
Cohomology of groups (Summary of talks). Zbl 0367.18012
Brown, K. S.
1976
High dimensional cohomology of discrete groups. Zbl 0339.20013
Brown, Kenneth S.
1976
Euler characteristics of groups: The $$p$$-fractional part. Zbl 0294.20048
Brown, Kenneth S.
1975
Homological criteria for finiteness. Zbl 0302.18010
Brown, Kenneth S.
1975
The Artin-Rees property and homology. Zbl 0321.18010
Brown, Kenneth S.; Dror, Emmanuel
1975
Abstract homotopy theory and generalized sheaf cohomology. Zbl 0245.55007
Brown, Kenneth S.
1974
Euler characteristics of discrete groups and G-spaces. Zbl 0294.20047
Brown, Kenneth S.
1974
Algebraic $$K$$-theory as generalized sheaf cohomology. Zbl 0291.18017
Brown, Kenneth S.; Gersten, Stephen M.
1973
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### Cited by 1,655 Authors

 20 Steinberg, Benjamin 19 Van Maldeghem, Hendrik J. 16 Gonçalves, Daciberg Lima 14 Kochloukova, Dessislava Hristova 14 Zaremsky, Matthew Curtis Burkholder 12 Cleary, Sean 12 Guba, Victor S. 12 Martínez-Pérez, Conchita 11 Ash, Avner 11 Caprace, Pierre-Emmanuel 11 Dranishnikov, Alexander Nikolaevich 11 Kropholler, Peter H. 11 Saliola, Franco V. 10 Brown, Kenneth Stephen 10 Parkinson, James 10 Taback, Jennifer 9 Bux, Kai-Uwe 9 Lucchini, Andrea 9 Meier, John 9 Nucinkis, Brita E. A. 9 Panyanak, Bancha 9 Wortman, Kevin A. 8 Adem, Alejandro 8 Burillo, José 8 Davis, Michael W. 8 Hosaka, Tetsuya 8 Leary, Ian James 8 Lück, Wolfgang 8 Symonds, Peter 7 Aljadeff, Eli 7 Bieri, Robert 7 Bridson, Martin R. 7 Brin, Matthew G. 7 Dwyer, William G. 7 Geoghegan, Ross 7 Guaschi, John 7 Lorenz, Martin 7 Margolis, Stuart W. 7 Pride, Stephen James 7 Struyve, Koen 7 Suciu, Alexander I. 7 Vogtmann, Karen 7 Witzel, Stefan 7 Zimmermann, Bruno P. 6 Ayyer, Arvind 6 Blagojević, Pavle V. M. 6 Chang, Shih-Sen 6 Dekimpe, Karel 6 Dunfield, Nathan M. 6 Elder, Murray J. 6 Mihalik, Michael L. 6 Mühlherr, Bernhard Matthias 6 Paris, Luis 6 Petrosyan, Nansen 6 Sapir, Mark Valentinovich 6 Schilling, Anne 6 Shareshian, John 6 Stein, Melanie I. 5 Abramenko, Peter 5 Akita, Toshiyuki 5 Burichenko, Vladimir P. 5 Chiswell, Ian M. 5 Diaconis, Persi Warren 5 Emmanouil, Ioannis 5 Farley, Daniel Scott 5 Fulman, Jason E. 5 Funar, Louis 5 Gray, Robert D. 5 Harer, John L. 5 Hermiller, Susan M. 5 Hillman, Jonathan Arthur 5 Januszkiewicz, Tadeusz 5 Kapovich, Michael 5 McCammond, Jon 5 Porter, Timothy 5 Saltman, David J. 5 Strebel, Ralph 5 Wahl, Nathalie 4 Alonso, Juan Miguel 4 Belk, James M. 4 Bleak, Collin 4 Brady, Noel 4 Brady, Thomas 4 Callegaro, Filippo 4 Charney, Ruth M. 4 Damian, Erika 4 Daverman, Robert J. 4 de Cornulier, Yves 4 Dehornoy, Patrick 4 Dicks, Warren 4 Dimca, Alexandru 4 Dymara, Jan 4 Farrell, F. Thomas 4 Flores, Ramón J. 4 Friedl, Stefan 4 Friedlander, Eric Mark 4 Glover, Henry H. 4 Golasiński, Marek 4 Harlander, Jens 4 Heusener, Michael ...and 1,555 more Authors
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### Cited in 242 Serials

 151 Journal of Pure and Applied Algebra 137 Journal of Algebra 70 Transactions of the American Mathematical Society 62 Algebraic & Geometric Topology 56 Topology and its Applications 55 Advances in Mathematics 45 Communications in Algebra 42 Annales de l’Institut Fourier 40 Proceedings of the American Mathematical Society 38 Geometry & Topology 37 Groups, Geometry, and Dynamics 36 Inventiones Mathematicae 33 Israel Journal of Mathematics 31 Geometriae Dedicata 30 Mathematische Zeitschrift 30 International Journal of Algebra and Computation 25 Duke Mathematical Journal 25 Mathematische Annalen 17 Journal of Combinatorial Theory. Series A 16 Journal of Group Theory 13 Communications in Mathematical Physics 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Archiv der Mathematik 13 Journal of the American Mathematical Society 12 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Compositio Mathematica 11 Journal of Algebraic Combinatorics 10 Journal of Topology and Analysis 9 Discrete Mathematics 9 Cahiers de Topologie et Géométrie Différentielle Catégoriques 9 European Journal of Combinatorics 9 Fixed Point Theory and Applications 8 Journal für die Reine und Angewandte Mathematik 8 Memoirs of the American Mathematical Society 8 Semigroup Forum 8 $$K$$-Theory 8 Geometric and Functional Analysis. GAFA 8 Journal of Homotopy and Related Structures 7 Mathematical Notes 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Bulletin of the London Mathematical Society 7 Journal of Number Theory 7 Manuscripta Mathematica 7 Proceedings of the Edinburgh Mathematical Society. Series II 7 Tôhoku Mathematical Journal. Second Series 7 Bulletin of the American Mathematical Society. New Series 7 Journal de Théorie des Nombres de Bordeaux 7 Journal of Mathematical Sciences (New York) 7 Journal of Inequalities and Applications 7 Algebras and Representation Theory 6 Journal of Functional Analysis 6 Osaka Journal of Mathematics 6 Applied Categorical Structures 6 Transformation Groups 6 Journal of the European Mathematical Society (JEMS) 5 Publications Mathématiques 5 Advances in Applied Mathematics 5 Discrete & Computational Geometry 5 Experimental Mathematics 5 St. Petersburg Mathematical Journal 5 Annals of Mathematics. Second Series 5 Journal of the Institute of Mathematics of Jussieu 5 Journal of Noncommutative Geometry 5 Journal of Nonlinear Science and Applications 4 Nuclear Physics. B 4 Rocky Mountain Journal of Mathematics 4 Journal of Geometry and Physics 4 Glasgow Mathematical Journal 4 Michigan Mathematical Journal 4 Monatshefte für Mathematik 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matematico della Università di Padova 4 Publicacions Matemàtiques 4 Designs, Codes and Cryptography 4 Expositiones Mathematicae 4 Indagationes Mathematicae. New Series 4 Documenta Mathematica 4 Journal of Algebra and its Applications 4 Annales Mathématiques du Québec 3 Beiträge zur Algebra und Geometrie 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Illinois Journal of Mathematics 3 Journal of Soviet Mathematics 3 Proceedings of the London Mathematical Society. Third Series 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Siberian Mathematical Journal 3 Theoretical Computer Science 3 Ergodic Theory and Dynamical Systems 3 Annals of Pure and Applied Logic 3 Forum Mathematicum 3 Topology Proceedings 3 The Electronic Journal of Combinatorics 3 Selecta Mathematica. New Series 3 Theory and Applications of Categories 3 Annals of Combinatorics 3 Communications in Contemporary Mathematics 3 Journal of the Australian Mathematical Society 3 Algebra and Discrete Mathematics 3 Mediterranean Journal of Mathematics 3 Bulletin of the American Mathematical Society ...and 142 more Serials
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### Cited in 49 Fields

 978 Group theory and generalizations (20-XX) 435 Manifolds and cell complexes (57-XX) 324 Algebraic topology (55-XX) 163 Category theory; homological algebra (18-XX) 146 Combinatorics (05-XX) 131 Associative rings and algebras (16-XX) 126 Algebraic geometry (14-XX) 123 Number theory (11-XX) 106 Topological groups, Lie groups (22-XX) 105 Geometry (51-XX) 69 $$K$$-theory (19-XX) 67 Differential geometry (53-XX) 54 General topology (54-XX) 46 Computer science (68-XX) 44 Several complex variables and analytic spaces (32-XX) 44 Probability theory and stochastic processes (60-XX) 40 Order, lattices, ordered algebraic structures (06-XX) 39 Dynamical systems and ergodic theory (37-XX) 37 Commutative algebra (13-XX) 37 Operator theory (47-XX) 37 Convex and discrete geometry (52-XX) 34 Nonassociative rings and algebras (17-XX) 33 Functional analysis (46-XX) 29 Global analysis, analysis on manifolds (58-XX) 27 Abstract harmonic analysis (43-XX) 26 Mathematical logic and foundations (03-XX) 22 Quantum theory (81-XX) 18 Field theory and polynomials (12-XX) 17 Functions of a complex variable (30-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX)

### Wikidata Timeline

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